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66719688 = 23372331557
BaseRepresentation
bin1111111010000…
…0111111001000
311122112201012120
43332200333020
5114040012223
610342011240
71440052020
oct376407710
9148481176
1066719688
1134730542
121a416b20
1310a90709
148c0aa80
155ccdbe3
hex3fa0fc8

66719688 has 128 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 17614080.

The previous prime is 66719683. The next prime is 66719693. The reversal of 66719688 is 88691766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66719683) and next prime (66719693).

It is a self number, because there is not a number n which added to its sum of digits gives 66719688.

It is not an unprimeable number, because it can be changed into a prime (66719683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119506 + ... + 120062.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 266719688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66719688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

66719688 is an abundant number, since it is smaller than the sum of its proper divisors (138981432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66719688 is a wasteful number, since it uses less digits than its factorization.

66719688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 66719688 is about 8168.2120442604. The cubic root of 66719688 is about 405.5876000395.

The spelling of 66719688 in words is "sixty-six million, seven hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 557 644 651 713 744 868 966 1114 1288 1302 1426 1671 1736 1932 2139 2228 2604 2852 3342 3864 3899 4278 4456 4991 5208 5704 6684 7798 8556 9982 11697 12811 13368 14973 15596 17112 17267 19964 23394 25622 29946 31192 34534 38433 39928 46788 51244 51801 59892 69068 76866 89677 93576 102488 103602 119784 120869 138136 153732 179354 207204 241738 269031 307464 358708 362607 397141 414408 483476 538062 717416 725214 794282 966952 1076124 1191423 1450428 1588564 2152248 2382846 2779987 2900856 3177128 4765692 5559974 8339961 9531384 11119948 16679922 22239896 33359844 66719688